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Finding the Fourth Proportional to 6,171.97, 8,517.81 and 3,518.77

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Solution

The fourth proportional to 6,171.97, 8,517.81 and 3,518.77 is: 4,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.97 : 8,517.81 = 3,518.77 : x
  2. Step 2: Convert to fraction form
    6,171.97/8,517.81 = 3,518.77/x
  3. Step 3: Cross multiply
    6,171.97x = 8,517.81 × 3,518.77
  4. Step 4: Simplify right side
    6,171.97x = 29,972,214.29
  5. Step 5: Solve for x
    x = 29,972,214.29/6,171.97
  6. Step 6: Final answer
    x = 4,856.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.